Answer:
all work is shown and pictured
 
        
             
        
        
        
Do 12x-9 + 141 = 180 (add -9 and 4)
 12x +132= 180 (Subtract 132 from 180)
 12x =48 (Divide 48 by 12)
 x=4
        
             
        
        
        
The formula is
A=p (1+r/k)^kt
A fund needed 30000
p Amount invested? 
R interest rate 0.1
K compounded semiannual 2
T time 1 year
Solve the formula for p to get
P=A÷(1+r/k)^kt
P=30,000÷(1+0.1÷2)^(2×1)
P=27,210.88
        
             
        
        
        
This is gonna be the answer. It’s 4+sqrt(19) and 4-sqrt(19). Which is approximately 8.36 and -0.36. In x intercept form, it’s (8.36,0) and (-0.36,0) also I solved this by completing the square. I hope this helps!!! Mark as brainliest!!!
 
        
        
        
Answer:
The population when t = 3 is 10.
Step-by-step explanation:
Suppose a certain population satisfies the logistic equation given by

with P(0)=1. We need to find the population when t=3.
Using variable separable method we get
 
Integrate both sides.
  .... (1)
             .... (1)
Using partial fraction


Using these values the equation (1) can be written as
 
 
On simplification we get
 
 
We have P(0)=1
Substitute t=0 and P=1 in above equation.
 
 
The required equation is
 
Multiply both sides by 10.



Reciprocal it


The population when t = 3 is
 
Using calculator,

Therefore, the population when t = 3 is 10.